Application of global methods in parallel shooting

M.E. Kramer; R.M.M. Mattheij

doi:10.1137/0730088

Application of global methods in parallel shooting

M.E. Kramer, R.M.M. Mattheij

Scientific Computing

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Abstract

A new divide and conquer method is proposed. It employs a coarse grid discretization like multiple shooting does, but solves the local problems in a "BVP-way," i.e., by some global method. A sophisticated error control is developed to combine local and global convergence of the Newton updating. An implementation based on using the collocation code COLNEW is briefly discussed and a number of examples are given to illustrate the success of the method, in particular for singular perturbation problems.

Original language	English
Pages (from-to)	1723-1739
Journal	SIAM Journal on Numerical Analysis
Volume	30
Issue number	6
DOIs	https://doi.org/10.1137/0730088
Publication status	Published - 1993

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title = "Application of global methods in parallel shooting",

abstract = "A new divide and conquer method is proposed. It employs a coarse grid discretization like multiple shooting does, but solves the local problems in a {"}BVP-way,{"} i.e., by some global method. A sophisticated error control is developed to combine local and global convergence of the Newton updating. An implementation based on using the collocation code COLNEW is briefly discussed and a number of examples are given to illustrate the success of the method, in particular for singular perturbation problems.",

author = "M.E. Kramer and R.M.M. Mattheij",

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AU - Kramer, M.E.

AU - Mattheij, R.M.M.

PY - 1993

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N2 - A new divide and conquer method is proposed. It employs a coarse grid discretization like multiple shooting does, but solves the local problems in a "BVP-way," i.e., by some global method. A sophisticated error control is developed to combine local and global convergence of the Newton updating. An implementation based on using the collocation code COLNEW is briefly discussed and a number of examples are given to illustrate the success of the method, in particular for singular perturbation problems.

AB - A new divide and conquer method is proposed. It employs a coarse grid discretization like multiple shooting does, but solves the local problems in a "BVP-way," i.e., by some global method. A sophisticated error control is developed to combine local and global convergence of the Newton updating. An implementation based on using the collocation code COLNEW is briefly discussed and a number of examples are given to illustrate the success of the method, in particular for singular perturbation problems.

U2 - 10.1137/0730088

DO - 10.1137/0730088

M3 - Article

SN - 0036-1429

VL - 30

SP - 1723

EP - 1739

JO - SIAM Journal on Numerical Analysis

JF - SIAM Journal on Numerical Analysis

IS - 6

ER -

Application of global methods in parallel shooting

Abstract

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